Computational of generalized projection method for maximal monotone operators and a countable family of relatively quasi-nonexpansive mappings
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Author list: Saewan S., Kumam P.
Publisher: Taylor and Francis Group
Publication year: 2015
Journal: Optimization (0233-1934)
Volume number: 64
Issue number: 12
Start page: 2531
End page: 2552
Number of pages: 22
ISSN: 0233-1934
eISSN: 1029-4945
Languages: English-Great Britain (EN-GB)
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Abstract
We introduce a new hybrid projection method in mathematical programming for finding a common element of the set of common fixed points of a countable family of relatively quasi-nonexpansive mappings, the set of the variational inequality for an (Formula presented.) -inverse-strongly monotone operator, the set of solutions of the mixed equilibrium problem and a zero of a maximal monotone operator in the framework of a real Banach space. We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space. Furthermore, we give some numerical examples which support our main theorem in the last part. ฉ 2013 Taylor & Francis.
Keywords
hybrid iterative scheme
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